Atlas home || Conferences | Abstracts | about Atlas

International Conference on Statistics, Combinatorics and Related Areas and the Eighth International Conference of Forum for Interdisciplinary Mathematics
December 19-21, 2001
School of Mathematics and Applied Statistics, University of Wollongong
Wollongong, NSW, Australia

Organizers
Satya N. Mishra (University of South Alabama), Chandra M. Gulati (University of Wollongong)

View Abstracts
Conference Homepage

A global solution of the initial boundary value problem for the damped Boussinesq equation
by
Shaoyong Lai
Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, 610031, P.R.China
Coauthors: Y.H. Wu (Dept Mathematics and Statistics, Curtin University of Technology, Perth, WA)

This paper deals with the initial –boundary value problem for the damped Boussinesq equation Utt-aUttxx-2bUtxx = -cUxxxx+Uxx+d(U^2)xx, where t>0, a, b, c and d are constants. For the case a+c>b^2 corresponding to an infinite number of damped oscillations, we derived a global solution of the equation in the form of Fourier series. The coefficients of the series are determined by a uniformly convergent series with a small parameter given in the initial conditions. The new solution includes the solution of the classical Boussinesq equation on time [0, T] as a special case. In addition, the long time asymptotes of our solution also show the presence of the damped oscillations decaying exponentially in time as found by others [8].

Date received: November 16, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caid-98.